Equivalent Structures of a Periodically Time Varying Digital Filter

Xiong Wei MIN  Rokuya ISHII  

Publication
IEICE TRANSACTIONS (1976-1990)   Vol.E73   No.6   pp.893-900
Publication Date: 1990/06/25
Online ISSN: 
DOI: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Digital Signal Processing
Keyword: 


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Summary: 
The relationship between a multirate quadrature mirror filters (QMF) system and an output sampling polyphase model of a periodically time varying digital filter is examined. It is proved that a polyphase model of a periodically time varying digital filter is equivalent to a specified multirate QMF system. Using the derived relationship, another type of polyphase model of a periodically time varying digital filter which is called an input sampling polyphase model is proposed and analyzed. Furthermore, the equivalence of two types of polyphase models, i.e., the conventional output sampling polyphase model and the proposed input sampling polyphase model, is discussed and conditions for their equivalence are obtained.